Solve. Check for extraneous solutions: 5/x = 4/x-3

Question

pleaseeee helpppp

Answer 1

5/x = 4/x-3

 

After cross multiplying the equation is:

5(x-3) = 4x

 

When you distribute the product on the left side:

5x - 15 =  4x

 

Gather like terms while keeping equality:

5x - 4x = 15

 

Simplification:

x = 15

 

X = 15 is not a extraneous solution because it is still the root of the original equation.

 

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